Topic
Topological string theory
About: Topological string theory is a research topic. Over the lifetime, 1206 publications have been published within this topic receiving 54758 citations.
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TL;DR: In this paper, a flux p-brane in D dimensions has (p+1)-dimensional Poincare invariance and a nonzero rank (D-p-1) field strength tangent to the transverse dimensions.
Abstract: A flux p-brane in D dimensions has (p+1)-dimensional Poincare invariance and a nonzero rank (D-p-1) field strength tangent to the transverse dimensions. We find a family of such solutions in string theory and M-theory and investigate their properties.
193 citations
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TL;DR: In this paper, a light-cone gauge quantization of the interacting worldsheet string theory was developed to obtain the interacting spectrum of the so-called two-impurity states of the string.
193 citations
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TL;DR: Aganagic et al. as discussed by the authors showed that the genus g topological string amplitude is either a holomorphic quasi-modular form or an almost holomorphic modular form of weight 0 under Γ.
Abstract: hep-th/0607100 arXiv:hep-th/0607100v2 4 May 2007 Topological Strings and (Almost) Modular Forms Mina Aganagic, 1 Vincent Bouchard, 2 Albrecht Klemm, 3 University of California, Berkeley, CA 94720, USA Mathematical Sciences Research Institute, Berkeley, CA 94720, USA University of Wisconsin, Madison, WI 53706, USA Abstract The B-model topological string theory on a Calabi-Yau threefold X has a symmetry group Γ, generated by monodromies of the periods of X. This acts on the topological string wave function in a natural way, governed by the quantum mechanics of the phase space H 3 (X). We show that, depending on the choice of polarization, the genus g topological string amplitude is either a holomorphic quasi-modular form or an almost holomorphic modular form of weight 0 under Γ. Moreover, at each genus, certain combinations of genus g amplitudes are both modular and holomorphic. We illustrate this for the local Calabi- Yau manifolds giving rise to Seiberg-Witten gauge theories in four dimensions and local IP 2 amplitudes near different points in the moduli space, which we use to give predictions for Z Gromov-Witten invariants of the orbifold C 3 /Z 3 . July 2006 and IP 1 ×IP 1 . As a byproduct, we also obtain a simple way of relating the topological string
191 citations
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TL;DR: In this paper, a brief overview of the string landscape and techniques used to construct string compactifications is given, and a number of conjectures that attempt to characterize theories in the swampland are reviewed.
Abstract: We give a brief overview of the string landscape and techniques used to construct string compactifications. We then explain how this motivates the notion of the swampland and review a number of conjectures that attempt to characterize theories in the swampland. We also compare holography in the context of superstrings with the similar, but much simpler case of topological string theory. For topological strings, there is a direct definition of topological gravity based on a sum over a "quantum gravitational foam." In this context, holography is the statement of an identification between a gravity and gauge theory, both of which are defined independently of one another. This points to a missing corner in string dualities which suggests the search for a direct definition of quantum theory of gravity rather than relying on its strongly coupled holographic dual as an adequate substitute (Based on TASI 2017 lectures given by C. Vafa).
186 citations